Chapter 2: Binary Values & Number Systems Quiz Questions

What is the decimal equivalent of the hexadecimal number 1C9F?

7327

Why are binary digits used to represent information on a computer?

The devices used to store and manage data on a computer are cheaper and more reliable if they only have to represent two possible states. Every electrical signal is considered to be either "low" or "high" that map to the binary digits 0 and 1.

The _______________ of a number system determines how many digits are used in the system and the value of digit positions.

base

A single binary digit is called a(n) _______________.

bit

A group of eight bits is called a(n) _______________.

byte

A(n) _______________ is a natural number, a negative of a natural number, or zero.

integer

A(n) _______________ is a unit of an abstract mathematical system subject to the laws of arithmetic.

number

A(n) _______________ is any number that can be expressed as a fraction.

rational number

Bytes can be grouped together into a(n) _______________, the size of which is machine-dependent.

word

The rightmost digit represents its value multiplied by the base raised to the _______________ power.

zero

Convert the following hexadecimal number to binary: 9CB

100111001011

Convert the following octal number to binary: 476

100111110

Convert the following decimal number to hexadecimal: 297

129

In base 16, the digit D is used to represent the decimal value _______________.

13

How many digits are there in the hexadecimal number system?

16

How many digits are there in the binary number system?

2

Convert the following binary number to decimal: 11011011

219

Convert the following octal number to decimal: 476

318

Convert the following binary number to octal: 11011011

333

Convert the following decimal number to octal: 297

451

The highest digit in base 2 is _______________.

1

Perform the following binary addition: 11001 + 1110011

10001100

Convert the following decimal number to binary: 297

100101001

Convert the following binary number to hexadecimal: 11011011

DB

The highest digit in base 16 is _______________.

F